Филипо Ферари

09. октобра 2023.

У оквиру семинара Центра за изучавање комплексних система Института за физику у Београду, у четвртак, 12. октобра 2023. године, у 14 часова путем Zoom платформе, Филипо Ферари (Лабораторија за теоријску физику наносистема и Центар за квантну науку и инжењеринг, EPFL, Лозана, Швајцарска) одржаће предавање:

Transient and steady-state quantum chaos


The study and characterization of quantum chaos and its connection to random matrix theory is a milestone in the study of many-body physics [1]. The question of how quantum chaos behaves in the presence of dissipation is attracting an increasing attention, motivated by the advent of noisy intermediate-scale quantum (NISQ) hardware. From a fundamental point of view, dissipation allows overcoming the paradigms of standard quantum mechanics, but at the same time requires developing novel criteria to univocally characterize and determine quantum chaos in dissipative configurations [2]. Furthermore, given the eventual decay of a quantum system towards its steady state, dissipative chaos has been characterized mainly as a transient phenomenon [3].

In this talk, we will introduce the Spectral Statistics of Quantum Trajectories (SSQT), a criterion to define and characterize quantum chaos both in the transient dynamics and in the steady state of driven-dissipative quantum systems [4]. The criterion succeeds where other well-established methods provide ambiguous results. The application of the SSQT to an asymmetrically driven dissipative Bose-Hubbard dimer, a paradigmatic model for quantum simulation, shows the presence of integrability, transient chaos, and steady-state chaos. When comparing the quantum trajectory analysis with a study of the mean-field classical limit, the most cases displaying quantum chaos become classically integrable. This analysis provides strong evidence for the existence of an emergent dissipative quantum chaos, and paves the way for the systematic study, both theoretical and experimental, of chaos in driven-dissipative bosonic chains.

[1] L. D’Alessio et al., Adv. Phys. 65, 239 (2016).
[2] R. Grobe et al, Phys. Rev. Lett. 61, 1899 (1988).
[3] L. Sa et al., Phys. Rev. X 10, 021019 (2020).
[4] F. Ferrari et al., arXiv:2305.15479 (2023).

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